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Finding the Third Proportional to 88,536 and 137,088

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Solution

The third proportional to 88,536 and 137,088 is: 212,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,536 : 137,088 = 137,088 : x
  2. Step 2: Convert to fraction form
    88,536/137,088 = 137,088/x
  3. Step 3: Cross multiply
    88,536x = 137,088 × 137,088
  4. Step 4: Simplify right side
    88,536x = 18,793,119,744
  5. Step 5: Solve for x
    x = 18,793,119,744/88,536
  6. Step 6: Final answer
    x = 212,265.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.